Question
What is the smallest number by which 3600 be divided to make it a perfect cube?
- 450
- 445
- 440
- 430
Hint:
We will divide 3600 by each of the options given and then check whether the resultant number is a perfect cube or not.
The correct answer is: 450
GIVEN-
given number = 3600
TO FIND-
Smallest number by which 3600 should be divided to make it a perfect cube.
SOLUTION-
a. 450
3600/450 = 8
We know that 8 is a perfect cube because 3√8 = 2.
b. 440
3600/440 = 90/11
We know that 90/11 is not a perfect cube.
c. 430
3600/430 = 360/43
We know that 360/43 is not a perfect cube.
d. 445
3600/455 = 720/89
We know that 720/89 is not a perfect cube.
FINAL ANSWER-
Option 'a' i.e. '450' is the correct answer to the given question.
Related Questions to study
The largest four-digit number, which is a perfect cube, is:
The largest four-digit number, which is a perfect cube, is:
The least number that should be multiplied with 1008 to make it a perfect square is
Alternatively, the question can be solved by multiply numbers in each of the options given and then check whether the resultant number is a perfect square or not-
a. 5
1008 * 5 = 5040
We know that 5040 is not a perfect square because √5040 = 12√35.
b. 2
1008 * 2 = 2016
We know that 2016 is not a perfect square because √2016 = 12√14.
c. 7
1008 * 7 = 7056
We know that 7056 is a perfect square because √7056 = 84.
d. 8
1008 * 8 = 8064
We know that 8064 is not a perfect square because √8064 = 24√14.
FINAL ANSWER REMAINS THE SAME.
The least number that should be multiplied with 1008 to make it a perfect square is
Alternatively, the question can be solved by multiply numbers in each of the options given and then check whether the resultant number is a perfect square or not-
a. 5
1008 * 5 = 5040
We know that 5040 is not a perfect square because √5040 = 12√35.
b. 2
1008 * 2 = 2016
We know that 2016 is not a perfect square because √2016 = 12√14.
c. 7
1008 * 7 = 7056
We know that 7056 is a perfect square because √7056 = 84.
d. 8
1008 * 8 = 8064
We know that 8064 is not a perfect square because √8064 = 24√14.
FINAL ANSWER REMAINS THE SAME.
. Round your answer to the nearest whole number.
is between which two integers?
